TSTP Solution File: NUM027-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Mon Jul 18 06:19:23 EDT 2022

% Result   : Unsatisfiable 0.72s 1.14s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Wed Jul  6 14:09:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.72/1.14  *** allocated 10000 integers for termspace/termends
% 0.72/1.14  *** allocated 10000 integers for clauses
% 0.72/1.14  *** allocated 10000 integers for justifications
% 0.72/1.14  Bliksem 1.12
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Automatic Strategy Selection
% 0.72/1.14  
% 0.72/1.14  Clauses:
% 0.72/1.14  [
% 0.72/1.14     [ equalish( add( X, n0 ), X ) ],
% 0.72/1.14     [ equalish( add( X, successor( Y ) ), successor( add( X, Y ) ) ) ],
% 0.72/1.14     [ equalish( multiply( X, n0 ), n0 ) ],
% 0.72/1.14     [ equalish( multiply( X, successor( Y ) ), add( multiply( X, Y ), X ) )
% 0.72/1.14     ],
% 0.72/1.14     [ ~( equalish( successor( X ), successor( Y ) ) ), equalish( X, Y ) ]
% 0.72/1.14    ,
% 0.72/1.14     [ ~( equalish( X, Y ) ), equalish( successor( X ), successor( Y ) ) ]
% 0.72/1.14    ,
% 0.72/1.14     [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ],
% 0.72/1.14     [ ~( equalish( add( successor( X ), Y ), Z ) ), less( Y, Z ) ],
% 0.72/1.14     [ ~( less( X, Y ) ), equalish( add( successor( 
% 0.72/1.14    'predecessor_of_1st_minus_2nd'( Y, X ) ), X ), Y ) ],
% 0.72/1.14     [ equalish( X, X ) ],
% 0.72/1.14     [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.72/1.14     [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.72/1.14     [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply( Y, Z ) )
% 0.72/1.14     ],
% 0.72/1.14     [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ],
% 0.72/1.14     [ less( X, Y ), equalish( Y, X ), less( Y, X ) ],
% 0.72/1.14     [ ~( less( X, X ) ) ],
% 0.72/1.14     [ ~( equalish( successor( X ), n0 ) ) ],
% 0.72/1.14     [ ~( less( X, Y ) ), equalish( Z, n0 ), less( multiply( X, Z ), multiply( 
% 0.72/1.14    Y, Z ) ) ],
% 0.72/1.14     [ ~( less( b, a ) ) ],
% 0.72/1.14     [ less( multiply( b, c ), multiply( a, c ) ) ],
% 0.72/1.14     [ ~( equalish( c, n0 ) ) ]
% 0.72/1.14  ] .
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  percentage equality = 0.000000, percentage horn = 0.904762
% 0.72/1.14  This is a near-Horn, non-equality  problem
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Options Used:
% 0.72/1.14  
% 0.72/1.14  useres =            1
% 0.72/1.14  useparamod =        0
% 0.72/1.14  useeqrefl =         0
% 0.72/1.14  useeqfact =         0
% 0.72/1.14  usefactor =         1
% 0.72/1.14  usesimpsplitting =  0
% 0.72/1.14  usesimpdemod =      0
% 0.72/1.14  usesimpres =        4
% 0.72/1.14  
% 0.72/1.14  resimpinuse      =  1000
% 0.72/1.14  resimpclauses =     20000
% 0.72/1.14  substype =          standard
% 0.72/1.14  backwardsubs =      1
% 0.72/1.14  selectoldest =      5
% 0.72/1.14  
% 0.72/1.14  litorderings [0] =  split
% 0.72/1.14  litorderings [1] =  liftord
% 0.72/1.14  
% 0.72/1.14  termordering =      none
% 0.72/1.14  
% 0.72/1.14  litapriori =        1
% 0.72/1.14  termapriori =       0
% 0.72/1.14  litaposteriori =    0
% 0.72/1.14  termaposteriori =   0
% 0.72/1.14  demodaposteriori =  0
% 0.72/1.14  ordereqreflfact =   0
% 0.72/1.14  
% 0.72/1.14  litselect =         negative
% 0.72/1.14  
% 0.72/1.14  maxweight =         30000
% 0.72/1.14  maxdepth =          30000
% 0.72/1.14  maxlength =         115
% 0.72/1.14  maxnrvars =         195
% 0.72/1.14  excuselevel =       0
% 0.72/1.14  increasemaxweight = 0
% 0.72/1.14  
% 0.72/1.14  maxselected =       10000000
% 0.72/1.14  maxnrclauses =      10000000
% 0.72/1.14  
% 0.72/1.14  showgenerated =    0
% 0.72/1.14  showkept =         0
% 0.72/1.14  showselected =     0
% 0.72/1.14  showdeleted =      0
% 0.72/1.14  showresimp =       1
% 0.72/1.14  showstatus =       2000
% 0.72/1.14  
% 0.72/1.14  prologoutput =     1
% 0.72/1.14  nrgoals =          5000000
% 0.72/1.14  totalproof =       1
% 0.72/1.14  
% 0.72/1.14  Symbols occurring in the translation:
% 0.72/1.14  
% 0.72/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.14  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.14  !  [4, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.72/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.14  n0  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.72/1.14  add  [41, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.72/1.14  equalish  [42, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.72/1.14  successor  [44, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.72/1.14  multiply  [45, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.72/1.14  less  [46, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.72/1.14  'predecessor_of_1st_minus_2nd'  [48, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.72/1.14  b  [52, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.72/1.14  a  [53, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.72/1.14  c  [54, 0]      (w:1, o:18, a:1, s:1, b:0).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Starting Search:
% 0.72/1.14  
% 0.72/1.14  Resimplifying inuse:
% 0.72/1.14  Done
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Intermediate Status:
% 0.72/1.14  Generated:    3595
% 0.72/1.14  Kept:         2023
% 0.72/1.14  Inuse:        386
% 0.72/1.14  Deleted:      2
% 0.72/1.14  Deletedinuse: 2
% 0.72/1.14  
% 0.72/1.14  Resimplifying inuse:
% 0.72/1.14  Done
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Bliksems!, er is een bewijs:
% 0.72/1.14  % SZS status Unsatisfiable
% 0.72/1.14  % SZS output start Refutation
% 0.72/1.14  
% 0.72/1.14  clause( 6, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 12, [ equalish( multiply( X, Z ), multiply( Y, Z ) ), ~( equalish( 
% 0.72/1.14    X, Y ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 13, [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 14, [ equalish( Y, X ), less( Y, X ), less( X, Y ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 15, [ ~( less( X, X ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 17, [ equalish( Z, n0 ), less( multiply( X, Z ), multiply( Y, Z ) )
% 0.72/1.14    , ~( less( X, Y ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 18, [ ~( less( b, a ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 19, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 20, [ ~( equalish( c, n0 ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 31, [ equalish( b, a ), less( a, b ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 47, [ less( multiply( b, c ), X ), ~( less( multiply( a, c ), X ) )
% 0.72/1.14     ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 143, [ equalish( X, n0 ), equalish( b, a ), less( multiply( a, X )
% 0.72/1.14    , multiply( b, X ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 1883, [ equalish( b, a ), less( multiply( b, c ), multiply( b, c )
% 0.72/1.14     ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 2109, [ equalish( b, a ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 2111, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 2265, [ ~( less( multiply( b, X ), multiply( a, X ) ) ) ] )
% 0.72/1.14  .
% 0.72/1.14  clause( 2437, [] )
% 0.72/1.14  .
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  % SZS output end Refutation
% 0.72/1.14  found a proof!
% 0.72/1.14  
% 0.72/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14  
% 0.72/1.14  initialclauses(
% 0.72/1.14  [ clause( 2439, [ equalish( add( X, n0 ), X ) ] )
% 0.72/1.14  , clause( 2440, [ equalish( add( X, successor( Y ) ), successor( add( X, Y
% 0.72/1.14     ) ) ) ] )
% 0.72/1.14  , clause( 2441, [ equalish( multiply( X, n0 ), n0 ) ] )
% 0.72/1.14  , clause( 2442, [ equalish( multiply( X, successor( Y ) ), add( multiply( X
% 0.72/1.14    , Y ), X ) ) ] )
% 0.72/1.14  , clause( 2443, [ ~( equalish( successor( X ), successor( Y ) ) ), equalish( 
% 0.72/1.14    X, Y ) ] )
% 0.72/1.14  , clause( 2444, [ ~( equalish( X, Y ) ), equalish( successor( X ), 
% 0.72/1.14    successor( Y ) ) ] )
% 0.72/1.14  , clause( 2445, [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ] )
% 0.72/1.14  , clause( 2446, [ ~( equalish( add( successor( X ), Y ), Z ) ), less( Y, Z
% 0.72/1.14     ) ] )
% 0.72/1.14  , clause( 2447, [ ~( less( X, Y ) ), equalish( add( successor( 
% 0.72/1.14    'predecessor_of_1st_minus_2nd'( Y, X ) ), X ), Y ) ] )
% 0.72/1.14  , clause( 2448, [ equalish( X, X ) ] )
% 0.72/1.14  , clause( 2449, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 0.72/1.14  , clause( 2450, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.72/1.14    , Z ) ] )
% 0.72/1.14  , clause( 2451, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), 
% 0.72/1.14    multiply( Y, Z ) ) ] )
% 0.72/1.14  , clause( 2452, [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ] )
% 0.72/1.14  , clause( 2453, [ less( X, Y ), equalish( Y, X ), less( Y, X ) ] )
% 0.72/1.14  , clause( 2454, [ ~( less( X, X ) ) ] )
% 0.72/1.14  , clause( 2455, [ ~( equalish( successor( X ), n0 ) ) ] )
% 0.72/1.14  , clause( 2456, [ ~( less( X, Y ) ), equalish( Z, n0 ), less( multiply( X, 
% 0.72/1.14    Z ), multiply( Y, Z ) ) ] )
% 0.72/1.14  , clause( 2457, [ ~( less( b, a ) ) ] )
% 0.72/1.14  , clause( 2458, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  , clause( 2459, [ ~( equalish( c, n0 ) ) ] )
% 0.72/1.14  ] ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 6, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.72/1.14  , clause( 2445, [ ~( less( X, Y ) ), ~( less( Z, X ) ), less( Z, Y ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 12, [ equalish( multiply( X, Z ), multiply( Y, Z ) ), ~( equalish( 
% 0.72/1.14    X, Y ) ) ] )
% 0.72/1.14  , clause( 2451, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), 
% 0.72/1.14    multiply( Y, Z ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 13, [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ] )
% 0.72/1.14  , clause( 2452, [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.14     ), ==>( 1, 1 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 14, [ equalish( Y, X ), less( Y, X ), less( X, Y ) ] )
% 0.72/1.14  , clause( 2453, [ less( X, Y ), equalish( Y, X ), less( Y, X ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.72/1.14     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 15, [ ~( less( X, X ) ) ] )
% 0.72/1.14  , clause( 2454, [ ~( less( X, X ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 17, [ equalish( Z, n0 ), less( multiply( X, Z ), multiply( Y, Z ) )
% 0.72/1.14    , ~( less( X, Y ) ) ] )
% 0.72/1.14  , clause( 2456, [ ~( less( X, Y ) ), equalish( Z, n0 ), less( multiply( X, 
% 0.72/1.14    Z ), multiply( Y, Z ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.14    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 18, [ ~( less( b, a ) ) ] )
% 0.72/1.14  , clause( 2457, [ ~( less( b, a ) ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 19, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  , clause( 2458, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 20, [ ~( equalish( c, n0 ) ) ] )
% 0.72/1.14  , clause( 2459, [ ~( equalish( c, n0 ) ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2483, [ equalish( b, a ), less( a, b ) ] )
% 0.72/1.14  , clause( 18, [ ~( less( b, a ) ) ] )
% 0.72/1.14  , 0, clause( 14, [ equalish( Y, X ), less( Y, X ), less( X, Y ) ] )
% 0.72/1.14  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.72/1.14    ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 31, [ equalish( b, a ), less( a, b ) ] )
% 0.72/1.14  , clause( 2483, [ equalish( b, a ), less( a, b ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.72/1.14     ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2486, [ ~( less( multiply( a, c ), X ) ), less( multiply( b, c ), X
% 0.72/1.14     ) ] )
% 0.72/1.14  , clause( 6, [ ~( less( X, Y ) ), less( Z, Y ), ~( less( Z, X ) ) ] )
% 0.72/1.14  , 2, clause( 19, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  , 0, substitution( 0, [ :=( X, multiply( a, c ) ), :=( Y, X ), :=( Z, 
% 0.72/1.14    multiply( b, c ) )] ), substitution( 1, [] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 47, [ less( multiply( b, c ), X ), ~( less( multiply( a, c ), X ) )
% 0.72/1.14     ] )
% 0.72/1.14  , clause( 2486, [ ~( less( multiply( a, c ), X ) ), less( multiply( b, c )
% 0.72/1.14    , X ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.14    0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2487, [ equalish( X, n0 ), less( multiply( a, X ), multiply( b, X )
% 0.72/1.14     ), equalish( b, a ) ] )
% 0.72/1.14  , clause( 17, [ equalish( Z, n0 ), less( multiply( X, Z ), multiply( Y, Z )
% 0.72/1.14     ), ~( less( X, Y ) ) ] )
% 0.72/1.14  , 2, clause( 31, [ equalish( b, a ), less( a, b ) ] )
% 0.72/1.14  , 1, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, X )] ), 
% 0.72/1.14    substitution( 1, [] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 143, [ equalish( X, n0 ), equalish( b, a ), less( multiply( a, X )
% 0.72/1.14    , multiply( b, X ) ) ] )
% 0.72/1.14  , clause( 2487, [ equalish( X, n0 ), less( multiply( a, X ), multiply( b, X
% 0.72/1.14     ) ), equalish( b, a ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.14    2 ), ==>( 2, 1 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2488, [ less( multiply( b, c ), multiply( b, c ) ), equalish( c, n0
% 0.72/1.14     ), equalish( b, a ) ] )
% 0.72/1.14  , clause( 47, [ less( multiply( b, c ), X ), ~( less( multiply( a, c ), X )
% 0.72/1.14     ) ] )
% 0.72/1.14  , 1, clause( 143, [ equalish( X, n0 ), equalish( b, a ), less( multiply( a
% 0.72/1.14    , X ), multiply( b, X ) ) ] )
% 0.72/1.14  , 2, substitution( 0, [ :=( X, multiply( b, c ) )] ), substitution( 1, [ 
% 0.72/1.14    :=( X, c )] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2489, [ less( multiply( b, c ), multiply( b, c ) ), equalish( b, a
% 0.72/1.14     ) ] )
% 0.72/1.14  , clause( 20, [ ~( equalish( c, n0 ) ) ] )
% 0.72/1.14  , 0, clause( 2488, [ less( multiply( b, c ), multiply( b, c ) ), equalish( 
% 0.72/1.14    c, n0 ), equalish( b, a ) ] )
% 0.72/1.14  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 1883, [ equalish( b, a ), less( multiply( b, c ), multiply( b, c )
% 0.72/1.14     ) ] )
% 0.72/1.14  , clause( 2489, [ less( multiply( b, c ), multiply( b, c ) ), equalish( b, 
% 0.72/1.14    a ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.14     ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2490, [ equalish( b, a ) ] )
% 0.72/1.14  , clause( 15, [ ~( less( X, X ) ) ] )
% 0.72/1.14  , 0, clause( 1883, [ equalish( b, a ), less( multiply( b, c ), multiply( b
% 0.72/1.14    , c ) ) ] )
% 0.72/1.14  , 1, substitution( 0, [ :=( X, multiply( b, c ) )] ), substitution( 1, [] )
% 0.72/1.14    ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 2109, [ equalish( b, a ) ] )
% 0.72/1.14  , clause( 2490, [ equalish( b, a ) ] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2491, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.72/1.14  , clause( 12, [ equalish( multiply( X, Z ), multiply( Y, Z ) ), ~( equalish( 
% 0.72/1.14    X, Y ) ) ] )
% 0.72/1.14  , 1, clause( 2109, [ equalish( b, a ) ] )
% 0.72/1.14  , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, X )] ), 
% 0.72/1.14    substitution( 1, [] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 2111, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.72/1.14  , clause( 2491, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2492, [ ~( less( multiply( b, X ), multiply( a, X ) ) ) ] )
% 0.72/1.14  , clause( 13, [ ~( less( X, Y ) ), ~( equalish( X, Y ) ) ] )
% 0.72/1.14  , 1, clause( 2111, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.72/1.14  , 0, substitution( 0, [ :=( X, multiply( b, X ) ), :=( Y, multiply( a, X )
% 0.72/1.14     )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 2265, [ ~( less( multiply( b, X ), multiply( a, X ) ) ) ] )
% 0.72/1.14  , clause( 2492, [ ~( less( multiply( b, X ), multiply( a, X ) ) ) ] )
% 0.72/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  resolution(
% 0.72/1.14  clause( 2493, [] )
% 0.72/1.14  , clause( 2265, [ ~( less( multiply( b, X ), multiply( a, X ) ) ) ] )
% 0.72/1.14  , 0, clause( 19, [ less( multiply( b, c ), multiply( a, c ) ) ] )
% 0.72/1.14  , 0, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  subsumption(
% 0.72/1.14  clause( 2437, [] )
% 0.72/1.14  , clause( 2493, [] )
% 0.72/1.14  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  end.
% 0.72/1.14  
% 0.72/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14  
% 0.72/1.14  Memory use:
% 0.72/1.14  
% 0.72/1.14  space for terms:        32031
% 0.72/1.14  space for clauses:      179385
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  clauses generated:      4402
% 0.72/1.14  clauses kept:           2438
% 0.72/1.14  clauses selected:       464
% 0.72/1.14  clauses deleted:        3
% 0.72/1.14  clauses inuse deleted:  2
% 0.72/1.14  
% 0.72/1.14  subsentry:          14831
% 0.72/1.14  literals s-matched: 5575
% 0.72/1.14  literals matched:   5566
% 0.72/1.14  full subsumption:   2772
% 0.72/1.14  
% 0.72/1.14  checksum:           -2086540002
% 0.72/1.14  
% 0.72/1.14  
% 0.72/1.14  Bliksem ended
%------------------------------------------------------------------------------